5b + 29 ≤ -25 is the translation of the phrase "the sum of a number times 5 and 29 is at most -25"
<h3>How to translate an English phrase into an algebraic equation?</h3>
Given the phrase in the question;
The sum of a number times 5 and 29 is at most -25.
First, we translate;
Let the unknown number represented by b.
- A number times 5 ⇒ b × 5 ⇒ 5b
- Sum ⇒ 5b + 29
- Inequality sign for at most -25 ⇒ less than or equal to ⇒ ≤ -25
Now we combine the terms;
5b + 29 ≤ -25
We can go and solve for the unknown number.
5b + 29 ≤ -25
Subtract 29 from both sides
5b + 29 - 29 ≤ -25 - 29
5b ≤ -25 - 29
5b ≤ -54
b ≤ -54/5
Therefore, the translation of the phrase is 5b + 29 ≤ -25.
Learn more about inequality here: brainly.com/question/20383699
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Answer:
Step-by-step explanation:
The point where the lines intersect is called the point of intersection.These form opposite angles.
Answer:
D. d = sqrt( ( x2-x1)^2 + (y2-y1)^2)
C. d = sqrt( ( x1-x2)^2 + (y1-y2)^2)
B. d = sqrt( (|x2-x1|^2 + |y2-y1|^2)
Step-by-step explanation:
Given two points (x1, y1) and (x2,y2) we can find the distance using
d = sqrt( ( x2-x1)^2 + (y2-y1)^2)
The order of the terms inside the square doesn't matter
d = sqrt( ( x1-x2)^2 + (y1-y2)^2)
When we are squaring are term, we can take the absolute value before we square and it does not change the value
d = sqrt( (|x2-x1|^2 + |y2-y1|^2)
Answer: A single turquoise guppy costs $3.69
Step-by-step explanation:
Let us use "x" to represent the amount a single turquoise is sold and use "y" to represent that of the Glo fish.
Since Kellen bought 4 guppies and 3 glo fishes for $41.73:
4x + 3y = 41.73 --------eqn 1
Similarly, Danielle purchased 3 guppies and 5 Glo fish for $56.02:
Therefore 3x + 5y = $56.02 -----eqn2
The 2 equations are;
4x + 3y = 41.73 (eqn 1)
3x + 5y = 56.02 (eqn 2)
We then solve the simultaneous equations using substitution method:
From eqn 1,
4x + 3y = 41.73
4x = 41.73 - 3y
x = (41.73 - 3y)/4
Substitute x for (41.73 - 3y)/4 in eqn2.
3[(41.73 - 3y)/4 + 5y = 56.02
11y + 125.19 = 224.08
11y =98.89
y = 98.89/11
y = $8.99
So, 1 Glo fish costs $8.99
Then, substitute "y" for 8.99 in equation 1
4x + (3×8.99) = 41.73
4x + 26.97 = 41.73
4x = 41.73 - 26.97
4x = 14.76
x = 14.76/4
x = $3.69
Therefore 1 turquoise guppy costs $3.69
